Let q=sqrt(2).
x^2=q ; x = 1.1892071150027210667175
x^q=2 ; x = 1.6325269194381528448
q^q = 1.6325269194381528448
These two values are the same because (q^q)^q = q^(q*q) = q^2 = 2
2^q = 2.66514414269022518865029724987
x^q=q ; x = 1.2777037682648325213
x^x=q ; x = 1.3043511789010365336
x^x=2 ; x = 1.55961046946236935
e^x = 2 ; x = 0.69314718055994530941723212
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